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Finding the Fourth Proportional to 174.35, 261.83 and 93.25

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Solution

The fourth proportional to 174.35, 261.83 and 93.25 is: 140.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.35 : 261.83 = 93.25 : x
  2. Step 2: Convert to fraction form
    174.35/261.83 = 93.25/x
  3. Step 3: Cross multiply
    174.35x = 261.83 × 93.25
  4. Step 4: Simplify right side
    174.35x = 24,416.21
  5. Step 5: Solve for x
    x = 24,416.21/174.35
  6. Step 6: Final answer
    x = 140.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.